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Finding the Third Proportional to 2,755.11 and 6,484.11

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Solution

The third proportional to 2,755.11 and 6,484.11 is: 15,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.11 : 6,484.11 = 6,484.11 : x
  2. Step 2: Convert to fraction form
    2,755.11/6,484.11 = 6,484.11/x
  3. Step 3: Cross multiply
    2,755.11x = 6,484.11 × 6,484.11
  4. Step 4: Simplify right side
    2,755.11x = 42,043,725.04
  5. Step 5: Solve for x
    x = 42,043,725.04/2,755.11
  6. Step 6: Final answer
    x = 15,260.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.